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The vector equation of the plane through the line of intersection of the planes $x + y + z = 1$ and $2x + 3y + 4z = 5$ which is perpendicular to the plane $x - y + z = 0$ is:
(1) $\vec{r} \times (\hat{i} - \hat{k}) + 2 = 0$
(2) $\vec{r} \cdot (\hat{i} - \hat{k}) - 2 = 0$
(3) $\vec{r} \times (\hat{i} + \hat{k}) + 2 = 0$
(4) $\vec{r} \cdot (\hat{i} - \hat{k}) + 2 = 0$
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